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Finding the Third Proportional to 12,849 and 26,895

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Solution

The third proportional to 12,849 and 26,895 is: 56,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849 : 26,895 = 26,895 : x
  2. Step 2: Convert to fraction form
    12,849/26,895 = 26,895/x
  3. Step 3: Cross multiply
    12,849x = 26,895 × 26,895
  4. Step 4: Simplify right side
    12,849x = 723,341,025
  5. Step 5: Solve for x
    x = 723,341,025/12,849
  6. Step 6: Final answer
    x = 56,295.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.